Metric with ergodic geodesic flow is completely determined by unparameterized geodesics.
Matveev, Vladimir S., Topalov, Petar J. (2000)
Electronic Research Announcements of the American Mathematical Society [electronic only]
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Matveev, Vladimir S., Topalov, Petar J. (2000)
Electronic Research Announcements of the American Mathematical Society [electronic only]
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Manuel Stadlbauer (2004)
Fundamenta Mathematicae
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For a non-compact hyperbolic surface M of finite area, we study a certain Poincaré section for the geodesic flow. The canonical, non-invertible factor of the first return map to this section is shown to be pointwise dual ergodic with return sequence (aₙ) given by aₙ = π/(4(Area(M) + 2π)) · n/(log n). We use this result to deduce that the section map itself is rationally ergodic, and that the geodesic flow associated to M is ergodic with respect to the...
C. Yue (1996)
Geometric and functional analysis
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Shukichi Tanno (1976)
Journal für die reine und angewandte Mathematik
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Vadim A. Kaimanovich (1994)
Journal für die reine und angewandte Mathematik
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R. Tribuzy, J.-H. Eschenburg (1995)
Mathematische Zeitschrift
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V. Benci, D. Fortunato, A. Masiello (1994)
Mathematische Zeitschrift
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Peter M. Gruber (1991)
Journal für die reine und angewandte Mathematik
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Adem Kiliçman, Wedad Saleh (2015)
Open Mathematics
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In this study, we introduce a new class of function called geodesic semi E-b-vex functions and generalized geodesic semi E-b-vex functions and discuss some of their properties.
Eberhard Hopf (1960/61)
Journal für die reine und angewandte Mathematik
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Roland Matthes (1994)
Journal für die reine und angewandte Mathematik
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Victor Bangert (1983)
Mathematische Annalen
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U. Krengel, M.A. Akcoglu (1981)
Journal für die reine und angewandte Mathematik
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